We discuss in this paper the strong convergence for weighted sums of negatively orthant dependent (NOD) random variables by generalized Gaussian techniques. As a corollary, a Cesaro law of large numbers of i.i.d. random ...

In a celebrated work by Shao [J. The. Probab. 13. (2000) 343-356] several inequalities for negatively associated random variables were proved. In this paper we obtain some maximal inequalities for associated random variables. ...

We study the limiting behavior of weighted sums for

negatively associated (NA) random variables. We extend results in

Wu (1999) and a theorem in Chow and Lai (1973) for NA random

variables.

Petrov (1996) proved the connection between general

moment conditions and the applicability of the strong law of large

numbers to a sequence of pairwise independent and identically distributed

random ...

We prove some inequalities for sums of negatively dependent (ND) random variables.

In some long term studies, a series of dependent and possibly censored failure times

may be observed. Suppose that the failure times have a common distribution function F .

A popular measure of the distance ...

Let {(Tn, Xn), n ≥ 1} be a stationary α-mixing sequence and {Cn, n ≥ 1}

be a sequence of iid censoring random variables. Let ξp(x) be the

conditional p-th quantile of Y given X = x, where Y = min(T, C). ...

In this work, we consider the nonparametric estimators of the Lorenz curve and Gini

index based on a sample from the corresponding length-biased distribution. We show

that this estimators are strongly consistent ...